Recent content by ibkev

This guide may be useful: https://www.physicsforums.com/insights/self-study-algebra-linear-algebra/

This inexpensive book, Real Analysis: A Long Form Mathematics Book by Jay Cummings puts a fair amount of effort into explaining the reasoning behind the various aspects of real analysis. "This textbook is designed for students. Rather than the typical definition-theorem-proof-repeat style, this...

Another GR text that was designed in a way that has you doing problems throughout each chapter is this one: http://pages.pomona.edu/~tmoore/grw/index.html I heard it once described as fitting in between a math heavy approach like Schutz's and a physics first approach like Hartle...

To me, there are a couple things at work here: (1) different texts speak to different people. It may be that you and Stewart think alike and isn’t it great to find a text like that? (2) Stewart tends to be a great text for people who intend to use calculus as a tool. Engineers, economists...

Thanks for all the replies folks. I dug up a copy of “A Book of Abstract Algebra” by Pinter that seems unusually readable for a math text, so I think I have my next beach read! :)

I guess that’s the reason for my question. Exploring if there is a difference between multiplying two objects together and taking their product. Looking at the formula for a cross product, to me it’s not obviously a means of multiplying two vectors because there’s no associated divide and it’s...

Oh interesting! Category Theory is something that I’ve never looked into before. Maybe that would make for a fun project. :) Thanks!

BTW, if I had taken a math degree, is it abstract algebra that would have taught me that?

Ah - the definition is more about the way it can be used than what it actually is - thanks!

Today I was reading about geometric algebra and a kind of vector product that combines the dot and cross/wedge products together and it got me thinking about the meaning of "product". My math background is from an engineering perspective and I've always just accepted the dot and cross products...

There is also a nice guide you may consider: https://www.physicsforums.com/insights/self-study-algebra-linear-algebra/

One thing I'll suggest regarding Halliday and Resnick is that you get the extended edition (or the 2 volume edition which is the same but much easier to handle.) This includes extra chapters that give you an early taste of advanced topics like special relativity and quantum physics and can make...

You might also enjoy this: https://www.amazon.com/dp/B014P9HVHQ/?tag=pfamazon01-20

Have you seen this guide? It has some some great recommendations: How to Self Study Analysis: Intro to Analysis

Lee Smolin has a new book on quantum foundations from a realism perspective that is getting pretty good reviews: https://www.amazon.com/dp/0345809106/?tag=pfamazon01-20